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This is a 3-part partial differential equation problem dealing with nonhomogeneous problems and the finite fourier transform. Please type out the answer for each part

This is a 3-part partial differential equation problem dealing with nonhomogeneous problems and the finite fourier transform. Please type out the answer for each part of the question but if handwritten please write the answer clearly so I can read it without asking questions. Please give me some kind of answer for all parts of the question, anything for all parts. Be sure to clearly label the answer to each part.

Part 1:

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Part 2:

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Part 3:

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Solve V?u= y(1 - y) sin x for 0 0, 0,

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